105219864903336 has 64 divisors (see below), whose sum is σ = 266817062707200. Its totient is φ = 34571199633600.

The previous prime is 105219864903311. The next prime is 105219864903341. The reversal of 105219864903336 is 633309468912501.

It is a super-2 number, since 2×105219864903336² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105219864903336.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48945 + ... + 14506623.

It is an arithmetic number, because the mean of its divisors is an integer number (4169016604800).

Almost surely, 2^{105219864903336} is an apocalyptic number.

It is an amenable number.

105219864903336 is an abundant number, since it is smaller than the sum of its proper divisors (161597197803864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105219864903336 is a wasteful number, since it uses less digits than its factorization.

105219864903336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14462030 (or 14462026 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 105219864903336 in words is "one hundred five trillion, two hundred nineteen billion, eight hundred sixty-four million, nine hundred three thousand, three hundred thirty-six".